President Franois Hollande announced Saturday that he and his companion, Valrie Trierweiler , had formally ended their relationship, bringing to a close a two-week-long melodrama that began with a glossy magazines report of an affair with an actress and Ms. Trierweilers emotional collapse over the disclosure. In a brief statement to the news agency Agence France-Presse, Mr. Hollande said he was making it known that “I have ended the shared life I had with Valrie Trierweiler.”